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Finding the Fourth Proportional to 283,149.23, 424,723.41 and 194,132.87

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Solution

The fourth proportional to 283,149.23, 424,723.41 and 194,132.87 is: 291,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,149.23 : 424,723.41 = 194,132.87 : x
  2. Step 2: Convert to fraction form
    283,149.23/424,723.41 = 194,132.87/x
  3. Step 3: Cross multiply
    283,149.23x = 424,723.41 × 194,132.87
  4. Step 4: Simplify right side
    283,149.23x = 82,452,774,539.49
  5. Step 5: Solve for x
    x = 82,452,774,539.49/283,149.23
  6. Step 6: Final answer
    x = 291,199.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.